Question

1.Check multiplication and division is associative or not
1) 2/3 × 4/2 × 5/6
2) 2/3÷4/2÷5/6
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Answer 1

1) (2/3 * 4/2) * 5/6

= 4/3*5/6 = 1.111

2/3*(4/2*5/6)

= 2/3*5/3= 1.111

so 1) is associative

2) (2/3 / 4/2) / 5/6

= (2/3*2/4) / 5/6

= 1/6* 6/5 = 0.2

2/3 / (4/2 / 5/6)

= 3/2 / (4/2*6/5)

= 2/3 / 12/5

= 2/3 * 5/12 = 0.27

so 2) is not associative

Therefore multiplication is associative while division is not associative